2688264 has 24 divisors (see below), whose sum is σ = 7280910. Its totient is φ = 896064.

The previous prime is 2688239. The next prime is 2688299. The reversal of 2688264 is 4628862.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 562500 = 1458^2 + 750^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18597 + ... + 18740.

2^2688264 is an apocalyptic number.

2688264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2688264 is an abundant number, since it is smaller than the sum of its proper divisors (4592646).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2688264 is a wasteful number, since it uses less digits than its factorization.

2688264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37349 (or 37342 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2688264 is about 1639.5926323328. The cubic root of 2688264 is about 139.0456175861.

The spelling of 2688264 in words is "two million, six hundred eighty-eight thousand, two hundred sixty-four".